My politically motivated hatred for this monopoly-computer (Intel + NVidia) aside, if that is not a cheap no-name PSU, it should be enough to power the GTX 1060, provided that it offers the required cables.
Then again the official spec sheet says the card only has one 6-pin connector:
https://www.evga.com/products/specs/...B-04223CB59D85
Maybe the adapter is just there to split one 8-pin connector into two 6-pin ones for people with some odd PSUs? Either way these adapters can be ignored when they're not needed and the power usage of the 1060 is not that high anyway. Again, provided the PSU is not a terribly cheap model that cannot really handle what it is designed for.
With the 1060 you should get quite a significant boost as well from the 730!

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